Selected Papers Of Weiyue Ding

by Youde Wang (Editor)

Overview

This collection covers all papers and partial talks given by Prof Weiyue Ding, who was a member of the Chinese Academy of Sciences. Prof Weiyue Ding devoted his academic career to the research in the field of ordinary differential equations and geometric analysis, e.g. Poincaré-Birkhoff fixed point theorems, blow-up analysis for heat flow of harmonic maps.

Product Details

ISBN-13:	9789813220874
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	02/09/2018
Series:	Peking University Series In Mathematics , #7
Pages:	632
Product dimensions:	6.69(w) x 9.61(h) x 1.38(d)

Table of Contents

Preface v

Biography xv

1 Fixed points of twist mappings and periodic solutions of ordinary differential equations (in Chinese), Acta Math. Sinica 25 (1982), No. 2, 227-235 1

2 On the existence of periodic solutions for Liénard systems, Acta Math. Sinica 25 (1982), No. 5, 626-632 10

3 A generalization of the Poincaré-Birkhoff theorem, Proc. Amer. Math. Soc. 88 (1983), No. 2, 341-346 17

4 (with Chong-Wei Hong) Periodic solutions of a nonlinear beam equation, Nonlinear Anal. 7 (1983), No. 10, 1141-1147 23

5 (with Wei-Ming Ni) On the elliptic equation Δu + Ku^(n+2)/(n-2) = 0 and related topics, Duke Math. J. 52 (1985), No. 2, 485-506 30

6 Generalizations of the Borsuk theorem, J. Math. Anal. Appl. 110 (1985), No. 2, 553-567 52

7 (with Tong-Ren Ding) Resonance problem for a class of Duffing's equations, Chin. Ann. Math. Ser. 6 B (1985), No. 4, 427-432 67

8 (with Wei-Ming Ni) On the existence of positive entire solutions of a semilinear elliptic equation, Arch. Rational Mech. Anal. 91 (1986), No. 4, 283-308 73

9 On a conformally invariant elliptic equation on Rⁿ, Commun. Math. Phys. 107 (1986), No. 2, 331-335 99

10 Lusternik-Schnirelmann theory for harmonic maps, Acta Math. Sinica (N.S.) 2 (1986), No. 2, 105-122 104

11 (with Wen-Xiong Chen) Scalar curvatures on S², Trans. Amer. Math. Soc. 303 (1987), No 1, 365-382 122

12 (with Wen-Xiong Chen) A problem concerning the scalar curvature on S², Kexue Tongbao (English Ed.) 33 (1988), No. 7, 533-537 140

13 Symmetric harmonic maps between spheres, Commun. Math. Phys. 118 (1988), No. 4, 641-649 145

14 Remarks on the existence problem of positive Kähler-Einstein metrics, Math. Ann. 282 (1988), No. 3, 463-471 154

15 Positive solutions of Δu + u^(n+2)/(n-2) = 0 on contractible domains, J. Partial Differential Equations 2 (1989), No. 4, 83-88 163

16 (with Yun-Mei Chen) Blow-up and global existence for heat flows of harmonic maps, Invent. Math. 99 (1990), No. 3, 567-578 169

17 Blow-up of solutions of heat flows for harmonic maps, Adv. Math. (China) 19 (1990), No. 1, 80-92 181

18 (with You-De Wang) Harmonic maps of complete noncompact Riemannian manifolds, Internat. J. Math. 2 (1991), No. 6, 617-633 196

19 (with Kung-Ching Chang) A result on the global existence for heat flows of harmonic maps from D² into S², Nematics (Orsay, 1990), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. 332 (Kluwer, 1991), pp. 37-47 213

20 (with Yun-Mei Chen) Blow-up analysis for heat flow of harmonic maps, Nematics (Orsay, 1990), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. 332 (Kluwer, 1991), pp. 49-64 224

21 Some recent results on the heat flow of harmonic maps, Nonlinear Analysis and Microlocal Analysis (Tianjin, 1991), Naikai Series in Pure, Applied Math. And Theoretical Physics, Vol. 2 (World Scientific, 1992), pp. 44-56 240

22 (with Gang Tian) The generalized Moser-Trudinger inequality, Nonlinear Analysis and Microlocal Analysis (Tianjin, 1991), Naikai Series in Pure, Applied Math. And Theoretical Physics, Vol. 2 (World Scientific, 1992), pp. 57-70 253

23 (with Kung-Ching Chang and Ru Gang Ye) Finite-time blow-up of the heat flow of harmonic maps from surfaces, J. Differential Geom. 36 (1992), No. 2, 507-515 267

24 (with Fang-Hua Lin) A generalization of Eells-Sampson's theorem. J. Partial Differential Equations 5 (1992), No. 4, 13-22 276

25 (with Gang Tian) Kähler-Einstein metrics and the generalized Futaki invariant, Invent. Math. 110 (1992), No. 2, 315-335 286

26 Harmonic Hopf constructions between spheres, Internat. J. Math. 5 (1994), No. 6, 849-860 307

27 Locally minimizing harmonic maps from noncompact manifolds, Manuscripta Math. 85 (1994), No. 3-4, 283-297 319

28 (with Jia Quan Liu) A note on the problem of prescribing Gaussian curvature on surfaces, Trans. Amer. Math. Soc. 347 (1995), No. 3, 1059-1066 334

29 (with Gang Tian) Energy identity for a class of approximate harmonic maps from surfaces, Comm. Anal. Geom. 3 (1995), No. 4, 543-554 342

30 (with Jia-Yu Li) A new proof of Hamilton's theorem on harmonic maps from manifolds with boundary, J. Partial Differential Equations 10 (1997), No. 2, 169-173 354

31 (with Jürgen Jost, Jia-Yu Li and Guo-Fang Wang) The differential equation Δu - 8π - 8πhe^u on a compact Riemann surface, Asian J. Math. 1 (1997), No. 2, 230-248 359

32 (with Jürgen Jost, Jia-Yu Li and Guo-Fang Wang) An analysis of the two-vortex case in the Chern-Simons Higgs model, Calc. Var. Parial Differential Equations 7 (1998), No. 1, 87-97 378

33 (with You-De Wang) Schrödinger flow of maps into symplectic manifolds, Sci. China Ser. A 41 (1998), No. 7, 746-755 389

34 (with Jürgen Jost, Jia-Yu Li and Guo-Fang Wang) Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere, Comment. Math. Helv. 74 (1999), No. 1, 118-142 399

35 A proof of the uniformization theorem on S², J. Partial Differential Equations 14 (2001), No. 3, 247-250 424

36 (with Jürgen Jost, Jia-Yu Li and Guo-Fang Wang) Existence results for mean field equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), No. 5, 653-666 428

37 (with Jürgen Jost, Jia-Yu Li, Xiao-Win Peng and Guo-Fang Wang) Self duality equations for Ginzburg-Landau and Seiberg-Witten type functional with 6th order potentials, Commun. Math. Phys. 217 (2001), No. 2, 383-407

38 (with You-De Wang) Local Schrödinger flow into Kähler manifolds, Sci. China Ser. A 44 (2001), No. 11, 1446-1464 467

39 On the Schrödinger flows, Proc. Of the Inter. Congress of Mathematicians, Vol. II, Beijing, 2002 (Higher Ed. Press, 2002), pp. 283-291 486

40 (with Hui-Jun Fan and Jia-Yu Li) Harmonic Hopf constructions between spheres. II, Calc. Var. Partial Differential Equations 16 (2003), No. 3, 273-282 495

41 (with Jia-Yu Li and Wei Li) Nonstationary weak limit of a stationary harmonic map sequence, Comm. Pure Appl. Math. 56 (2003), No. 2, 270-277 505

42 (with Hong-Yu Wang and You-De Wang) Schrödinger flows on compact Hermitian symmetric spaces and related problems, Acta Math. Sin. (Engl. Ser.) 19 (2003), No. 2, 303-312 513

43 (with Hao Yin) Special periodic solutions of Schrödinger flow, Math. Z. 253 (2006), No. 3, 555-570 523

44 (with Jia-Yu Li and Qing-Yue Liu) Evolution of minimal torus in Riemannian manifolds, Invent. Math. 165 (2006), No. 2, 225-242 539

45 (with Yong-Qiang Zhao) Elliptic equations strongly degenerate at a point, Nonlinear Anal. 65 (2006), No. 8, 1624-1632 557

46 (with Yu Yuan) Resolving the singularities of the minimal Hopf cones, J. Partial Differential Equations 19 (2006), No. 3, 218-231 566

47 (with Xiu-Xiong Chen) Ricci flow on surfaces with degenerate initial metrics, J. Partial Differential Equations 20 (2007), No. 3, 193-202 580

48 (with Hong-Yan Tang and Chong-Chun Zeng) Self-similar solutions of Schrödinger flows, Calc. Var. Partial Differential Equations 34 (2009), No. 2, 267-277 590

49 (with Guo-Fang Wang) Nonexistence of smooth axially symmetric harmonic maps from B³ into S², J. Partial Differential Equations 24 (2011), No 4, 289-296 601